Ternary quadratic forms representing the same integers

نویسندگان

چکیده

In 1997, Kaplansky conjectured that if two positive definite ternary quadratic forms with integer coefficients have perfectly identical integral representations, then they are isometric, both regular, or included either of families forms. this article, we prove the existence pairs representing same integers which not in Kaplansky's list.

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ژورنال

عنوان ژورنال: International Journal of Number Theory

سال: 2022

ISSN: ['1793-7310', '1793-0421']

DOI: https://doi.org/10.1142/s1793042122500981